4. [25 pts] Consider the following circuit: 2V + 222 112 V V w 10 V...
1. Find v(t) fort> 0 in the circuit in below: t=0 222 w 622 w + 10V 2 F +1 50 V Assume the switch has been open for a long time and is closed at t=0.
Find 1.(t) for t>O in the given circuit. 222 + V 12 1F 7.5e-2 V (+ 4.5u(-1) V 0.5v. + 1110 O [1.0714e-2t – 2.572e-t2cos(1.1181) + 4.791e-#2sin(1.1184] (1) A [-1.0714e-2t – 2.572e-t2cos(1.118t) + 4.791e-2sin(1.1181]u(t) A O [1.0714e-2t – 4.791e-t2cos(1.1186) + 2.572e-t2sin(1.1184]u(t) A O [1.0714e-2t + 2.572e-t2cos(1.1181) – 4.791e-t2sin(1.1189],(0) A
8. Consider the circuit: t=0 212 f(t)t 222 11 Pilt) 1F yt (a) Show that the transfer function of the circuit for t > 0 is † (s) = F(*) 452 +55+2 (b) What are the characteristic modes of the circuit (c) Determine the response y(t) for t > 0 if f(t) = 1, y(0-) = 1 V and i(0-) = 0.
Consider that V = R3 and W = {(a,b,c): a > 0} List 5 elements of W Is W a vector subspace? Justify
In the circuit given below, V = 28 V. Find it for t> 0. 32 1 H iſt) 40u(t) A 192 V 40 mF O 10 = [8.729 sin(4.5830e-29410) A O 10 = [218.232 cos(4.5831)e-2940 A it = [218.232 sin(4.5831e-2]40) A O 10 = [8.729 COS(4.583 18-2010 A
Question 4 Find i(t) for t >0 for the circuit below. 4Ω 12 V 5 H 3 A
(1 point) In the circuit below, v1 = 18 V and i1 = 1.5 A. Use mesh analysis to find V, and is 300 3160 VV 20 400 > 500 100 V = 1.30625 -2.67755 A
In the given circuit, identify (0) and i(t) for t> 0. Assume 10) = 0 V and 1(O) = 2.50 A. + 5u(t) A 222 v+0.5 F ell 1 H [3.780 e-t2cos(1.3229t - 90°)]u(1) V [5 + 2.67252 e-t2cos(1.3229t - 200.79] A [0 – 2.67252e-t2cos(1.3229t – 200.7°)] A [5 – 2.67252e-t/2 cos(1.3229t+ 200.79] A [2.673e-t2cos(1.3229t – 90°)]u(0) V [1.336e-t2 cos(1.3229t+ 90°)]/(t) v
Consider the circuit shown in (Figure 1). Suppose that E = 13 V . What is the current through the battery when the switch is open? What is the current through the battery when the switch is closed? 40 Ω 20 Ω3 Κ Switch > ML ε- 60 Ω 10 Ω
1 9. Find the principal value of dc 25 +1 COS ac 10. Find the principal value of dr, a > 0, b>0. (.x2 +62)2